Static output feedback H∞ control for switched LPV time-delay systems with nonlinear constraints

This paper addresses the issues of static output feedback H-infinity control for switched linear parameter-varying (LPV) time-delay systems using multiple parameter-dependent Lyapunov functions. First, a parameter and state-dependent switching strategy with dwell time is designed and a sufficient condition ensuring the stability of the unforced switched LPV time-delay systems is established with the aid of the switching law. Then, the piecewise parameter-dependent controller is designed, such that the closed-loop system is asymptotically stable and satisfies an H-infinity performance index. Finally, two examples are provided to show the effectiveness of the results.